-3(4-t)=5-(t+1)

Solution for -3(4-t)=5-(t+1) equation:

Simplifying
-3(4 + -1t) = 5 + -1(t + 1)
(4 * -3 + -1t * -3) = 5 + -1(t + 1)
(-12 + 3t) = 5 + -1(t + 1)

Reorder the terms:
-12 + 3t = 5 + -1(1 + t)
-12 + 3t = 5 + (1 * -1 + t * -1)
-12 + 3t = 5 + (-1 + -1t)

Combine like terms: 5 + -1 = 4
-12 + 3t = 4 + -1t

Solving
-12 + 3t = 4 + -1t

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add 't' to each side of the equation.
-12 + 3t + t = 4 + -1t + t

Combine like terms: 3t + t = 4t
-12 + 4t = 4 + -1t + t

Combine like terms: -1t + t = 0
-12 + 4t = 4 + 0
-12 + 4t = 4

Add '12' to each side of the equation.
-12 + 12 + 4t = 4 + 12

Combine like terms: -12 + 12 = 0
0 + 4t = 4 + 12
4t = 4 + 12

Combine like terms: 4 + 12 = 16
4t = 16

Divide each side by '4'.
t = 4

Simplifying
t = 4